Least Common Multiple of 2486 and 2494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2486 and 2494 the smallest integer that is 3100042 that is divisible by both numbers.

Least Common Multiple (LCM) of 2486 and 2494 is 3100042.

LCM(2486,2494) = 3100042

LCM of 2486 and 2494

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2486 and 2494

LCM of 2486 and 2494 is 3100042

Least common multiple can be found by multiplying the highest exponent prime factors of 2486 and 2494. First we will calculate the prime factors of 2486 and 2494.

Prime Factorization of 2486


2 2486
11 1243
113 113
1

Prime factors of 2486 are 2, 11,113. Prime factorization of 2486 in exponential form is:

2486 = 21×111×1131

Prime Factorization of 2494


2 2494
29 1247
43 43
1

Prime factors of 2494 are 2, 29,43. Prime factorization of 2494 in exponential form is:

2494 = 21×291×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2486 and 2494.

LCM(2486,2494) = 21×111×291×431×1131
LCM(2486,2494) = 3100042

Factors of 2486

List of positive integer factors of 2486 that divides 2486 without a remainder.

1, 2, 11, 22, 113, 226, 1243, 2486

Factors of 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1, 2, 29, 43, 58, 86, 1247, 2494

Least Common Multiple of 2486 and 2494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2486 and 2494, than apply into the LCM equation.

GCF(2486,2494) = 2
LCM(2486,2494) = ( 2486 × 2494) / 2
LCM(2486,2494) = 6200084 / 2
LCM(2486,2494) = 3100042

Properties of LCM 2486 and 2494

(i) The LCM of 2494 and 2486 is associative

LCM of 2486 and 2494 = LCM of 2494 and 2486

Frequently Asked Questions on LCM of 2486 and 2494

1. What is the LCM of 2486 and 2494?

Answer: LCM of 2486 and 2494 is 3100042.

2. What are the Factors of 2486?

Answer: Factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486. There are 8 integers that are factors of 2486. The greatest factor of 2486 is 2486.

3. What are the Factors of 2494?

Answer: Factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494. There are 8 integers that are factors of 2494. The greatest factor of 2494 is 2494.

4. How to Find the LCM of 2486 and 2494?

Answer:

Least Common Multiple of 2486 and 2494 = 3100042

Step 1: Find the prime factorization of 2486

2486 = 2 x 11 x 113

Step 2: Find the prime factorization of 2494

2494 = 2 x 29 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3100042 = 2 x 11 x 29 x 43 x 113

Step 4: Therefore, the least common multiple of 2486 and 2494 is 3100042.